Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 10, Problem 10.4P
A sinusoidal voltage V0, frequency
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A sinusoidal voltage wave is propagating on a low loss transmission line. The voltage as a function of position appears as shown below. From this plot, the damping coefficient α=
4. (a) A transmission line with a characteristic impedance of 100
has a load of 1 k2 resistance in parallel with a 0.005 µF
capacitor connected across the far end. A surge voltage of
magnitude 10 kV and unit function form (i.e. step function)
travels along the line. Derive an expression for the time
variation of the voltage across the load, and calculate the
value of this voltage 10us after the arrival of the wave front
of the surge
q7
Chapter 10 Solutions
Engineering Electromagnetics
Ch. 10 - The parameters of a certain transmission line...Ch. 10 - A sinusoidal wave on a transmission line is...Ch. 10 - Prob. 10.3PCh. 10 - A sinusoidal voltage V0, frequency , and phase...Ch. 10 - Two voltage waves of equal amplitude V0 and radian...Ch. 10 - A 50 load is attached to a 50-m section of the...Ch. 10 - Prob. 10.7PCh. 10 - An absolute measure of power is the dBm scale, in...Ch. 10 - A 100-m transmission line is used to propagate a...Ch. 10 - Two lossless transmission lines having different...
Ch. 10 - Two voltage waves of equal amplitude V0, which...Ch. 10 - In a circuit in which a sinusoidal voltage source...Ch. 10 - The skin effect mechanism in transmission lines is...Ch. 10 - A lossless transmission line having characteristic...Ch. 10 - Figure 10.29 See Problem 10.15. For the...Ch. 10 - A 100 lossless transmission line is connected to a...Ch. 10 - Determine the average power absorbed by each...Ch. 10 - The line shown in Figure 10.31 is lossless. Find s...Ch. 10 - A lossless transmission line is 50 cm in length...Ch. 10 - (a) Determine s on the transmission line of Figure...Ch. 10 - Prob. 10.21PCh. 10 - Prob. 10.22PCh. 10 - The normalized load on a lossless transmission...Ch. 10 - Prob. 10.24PCh. 10 - Prob. 10.25PCh. 10 - A 75 lossless line is of length 1.2 . It is...Ch. 10 - Prob. 10.27PCh. 10 - The wavelength on a certain lossless line is 10...Ch. 10 - Prob. 10.29PCh. 10 - A two-wire line constructed of lossless wire of...Ch. 10 - In order to compare the relative sharpness of the...Ch. 10 - In Figure 10.17, let ZL=250 and Z0=50. Find the...Ch. 10 - In Figure 10.17, let ZL=100+j150 and Z0=100. Find...Ch. 10 - The lossless line shown in Figure 10.35 is...Ch. 10 - Prob. 10.35PCh. 10 - The two-wire lines shown in Figure 10.36 are all...Ch. 10 - Prob. 10.37PCh. 10 - Repeat Problem 10.37, with, Z0=50 and RL=Rg=25....Ch. 10 - In the transmission line of Figure 10.20, Z0=50,...Ch. 10 - In the charged line of Figure 10.25, the...Ch. 10 - In the transmission line of Figure 10.37, the...Ch. 10 - Figure 10.38 See Problem 10.42. A simple frozen...Ch. 10 - Figure 10.39 See Problem 10.43. In Figure 10.39,...
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- 5arrow_forward10. The capacitance per unit length and the characteristic impedance of a lossless transmission line are C and Z0 respectively. The velocity of a travelling wave on the transmission line is (a) ZoC (b) 1/(ZoC) (c) Zo/C (d) C/Zoarrow_forwardA 105MHz, 90 v peak signal is incident on a 50-ohm transmission line. The line is 125m long and is terminated in 300-ohm load. What is the SWR for this situation? Find the reflection coefficient.arrow_forward
- Q10) Explain the need for a matching device which using for transmission line, evaluate the frequency for a wave. Assume a sinusoidal signal traveling alone the line with length 50 meter with Er-2.25. Jaated?arrow_forwardSubject:communication Need answerarrow_forwardplease model a transmission line pair with an equivalent circuit model. establish the transmission equations using Kirchhoff's current law and voltage law. solve the equivalent circuit model equations to get wave equation.arrow_forward
- c) For a transmission line w/characteristic impedance Z0 = 50 W. At some point of the line, a forward wave has the voltage V+ = 10V and backward wave has the voltage V- = 4V. i) Currents of the forward wave and backward wave at that point. ii) Measured voltage and current at that point. d) A transmission line has the following properties: Length, L = 3 m. Characteristic impedance Z0 = 50 W. The load impedance ZL = 100 W. And phase constant b = p/3. Assume the forward voltage at z = 0 is VA =10ejp/4 At z = 3m, calculate: i) Forward voltage and forward current. ii) Backward voltage and backward current. iii) Measured (total) voltage and current across the loadarrow_forwardThe 50 ohm transmission line isterminated with an unknown load. The magnitude of the reflection coefficient is R=0.5.Thedistancebetween the voltage maximum and the load is0.15 lambda. What is the imaginary partof the load impedance?arrow_forwardPlease help with the solution.arrow_forward
- 5. Two cascaded lossless transmission lines are terminated by Z₁-2502, as shown below.. a) Calculate the reflection coefficient and the standing wave ratio at the load, i.e., the CC' terminal. b) Determine the characteristic impedance of the quarter-wavelength transformer, Zol, to match the cascaded line to a 6492 generator. B A- A'. Zol 11= 2/4 B' Zo2=75 92 12=32/4 C C ZL=2592arrow_forward1. a. A purely reactive load impedance Z₁ =jX terminates a transmission line. Prove that the reflection coefficient magnitude |K| is always unity, assuming the characteristic impedance Zo is real. What is the VSWR of the line in this case? b. Consider the transmission line in the figure. i. Determine the SWR on transmission line ii. The input impedance If=102, find I, in the figure. WC 100/0*V] 20 922 Air, lossless Z-50 £2 2.72 40 2 ele 3002arrow_forwardA 702 high-frequency lossless line is used at a frequency where 2 = 80cm with a load of 140+j91 2 a. Calculate the reflection coefficient and the SWR b. Determine the distance to the first voltage minimum from the load c. Determine the distance to the first voltage maximum from the load d. Calculate the impedance at the point where maximum voltages occurarrow_forward
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How do Electric Transmission Lines Work?; Author: Practical Engineering;https://www.youtube.com/watch?v=qjY31x0m3d8;License: Standard Youtube License